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KatRina [158]
3 years ago
15

Pilar wanted to use estimation to solve a decimal addition problem. She correctly used estimation to rewrite the problem as 12 +

3 + 5 + 6. What could her original problem have been? Also it is written in decimals.
Mathematics
2 answers:
Mars2501 [29]3 years ago
8 0

Answer:

Could be 11.9 + 2.9 + 4.9 + 5.9

Step-by-step explanation:

All the numbers above will round to 12 + 3 + 5 + 6. There are other answers too

Lisa [10]3 years ago
5 0

Answer:

it would be Could be 11.9 + 2.9 + 4.9 + 5.9

Step-by-step explanation:

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The following table shows the​ weights, in hundreds of​ pounds, for six selected cars. Also shown is the corresponding fuel​ eff
Reika [66]

Answer:

Step-by-step explanation:

Given is a table showing  the​ weights, in hundreds of​ pounds, for six selected cars. Also shown is the corresponding fuel​ efficiency, in miles per gallon​ (mpg), for the car in city driving.

Weight Fuel eff. x^2 xy y^2

X Y    

28 20 784 560 400

3 22 9 66 484

35 19 1225 665 361

32 22 1024 704 484

30 23 900 690 529

29 21 841 609 441

     

Mean 26.16666667 21.16666667 797.1666667 549 449.8333333

     

Variance   112.4722222  1.805555556

Covariance -553.8611111    

     

     

r -0.341120235    

Correlaton coefficient =cov (xy)/S_x S_y

Covariance (x,y) = E(xy)-E(x)E(y)

The correlation coefficient between the weight of a car and the fuel efficiency is -0.341

8 0
3 years ago
A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while
bija089 [108]

Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = <u><em>Number of bottles in the sample that are not within specification</em></u>.

The above situation can be represented through binomial distribution;

P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....

where, n = number of trials (samples) taken = 12 bottles

             x = number of success  = 2 or more bottles

            p = probabilitiy of success which in our question is probability that  

                 bottles are not within specification, i.e. p = 0.01

So, X ~ Binom (n = 12, p = 0.01)

Now, the probability that the assembly line will be shut down is given by = P(X \geq 2)

  P(X \geq 2) = 1 - P(X = 0) - P(X = 1)

                 = 1-\binom{12}{0} \times 0.01^{0}\times (1-0.01)^{12-0}-\binom{12}{1} \times 0.01^{1}\times (1-0.01)^{12-1}

                 = 1-(1 \times 1\times 0.99^{12})-(12 \times 0.01^{1}\times 0.99^{11})

                 = <u>0.00617</u>

8 0
3 years ago
A container of beads contains: 8 red beads, 6 yellow beads, and 6 green beads. A bead will be drawn from the basket and replaced
77julia77 [94]

Answer:

Because of probability, a green or red bead would be drawn 14/20 times because there are 20 total beads and adding together the numbers for green and red. From this, if you multiply by 3/3 you can see that 42/60 times it will be a green bead. A reasonable prediction for green beads would then be 42 times. Hope it helps :D

7 0
3 years ago
Calcula el área de la siguiente figura
andreyandreev [35.5K]

Answer:

272.5 m²

Step-by-step explanation:

1/2x4x9=18

(9+18)/2=13.5. 13.5x11=148.5

(18+14)/2=16. 16x7=112

12+148.5+112= 272.5

5 0
3 years ago
Joanne was hired by a florist to make large boes for holidays wreaths each roll of ribbon has 20 yards joanne used 3 1/2 rolls o
alukav5142 [94]

Answer: Each bow needs 4.67 yards of ribbon.

Step-by-step explanation:

We know that each roll has 20 yd.

She used 3 + 1/2 rolls, then the total length used will be (3 + 1/2) times the length of each roll, this is:

(3 + 1/2)*20 yd = (6/2 + 1/2)*20yd = (7/2)*20yd = 70 yd.

With tose 70 yards of ribbon, she made 15 bows, then the length of ribbon used in each bow will be equal to the quotient between the total length used and the number of ribbons made with it, this is:

70yd/15 = 4.67 yards

Each bow needs 4.67 yards of ribbon.

6 0
3 years ago
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